MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Regularity Theorems and Energy Identities for Dirac-Harmonic Maps

Qun Chen, Jürgen Jost, Jiayu Li and Guofang Wang


We study Dirac-harmonic maps from a Riemann surface to a sphere $\S^n$. We show that a weakly Dirac-harmonic map is in fact smooth, and prove that the energy identity holds during the blow-up process.


Related publications

2005 Repository Open Access
Qun Chen, Jürgen Jost, Jiayu Li and Guofang Wang

Regularity theorems and energy identities for Dirac-harmonic maps

In: Mathematische Zeitschrift, 251 (2005) 1, pp. 61-84